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Mathematics
Mathematics
Problem
In parallelogram
A
B
C
D
ABCD
A
B
C
D
, diagonal
A
C
AC
A
C
is drawn. A point
P
P
P
on
A
C
AC
A
C
satisfies
A
P
:
P
C
=
2
:
1
AP:PC=2:1
A
P
:
P
C
=
2
:
1
. Segments
P
B
PB
P
B
and
P
D
PD
P
D
are joined. If
area
(
△
A
P
B
)
=
36
cm
2
\text{area}(\triangle APB)=36\,\text{cm}^2
area
(
△
A
P
B
)
=
36
cm
2
, what is the area of quadrilateral
B
C
P
D
BCPD
B
C
P
D
? a)
72
cm
2
72\,\text{cm}^2
72
cm
2
b)
18
cm
2
18\,\text{cm}^2
18
cm
2
c)
36
cm
2
36\,\text{cm}^2
36
cm
2
d)
54
cm
2
54\,\text{cm}^2
54
cm
2
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